The closure constraint for the hyperbolic tetrahedron as a Bianchi identity

DOI10.1007/s10714-017-2255-2zbMath1381.83003arXiv1607.08359OpenAlexW3099695570MaRDI QIDQ1699943

Christoph Charles, Etera R. Livine

Publication date: 26 February 2018

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08359

zbMATH Keywords

hyperbolic geometryBianchi identity\(q\)-deformationloop quantum gravitycoarse-grainingGauss constraintquantized polyhedron

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

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Fusion basis for lattice gauge theory and loop quantum gravity ⋮ Bubble networks: framed discrete geometry for quantum gravity ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. II: From coherent quantum boundaries to \(BMS_{3}\) characters ⋮ Area propagator and boosted spin networks in loop quantum gravity ⋮ Gravitational edge modes: from Kac–Moody charges to Poincaré networks ⋮ \((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces ⋮ Loop quantum gravity boundary dynamics and SL(2,C) gauge theory

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